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Finding the Fourth Proportional to 205,120.02, 307,497.09 and 110,401.02

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Solution

The fourth proportional to 205,120.02, 307,497.09 and 110,401.02 is: 165,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,120.02 : 307,497.09 = 110,401.02 : x
  2. Step 2: Convert to fraction form
    205,120.02/307,497.09 = 110,401.02/x
  3. Step 3: Cross multiply
    205,120.02x = 307,497.09 × 110,401.02
  4. Step 4: Simplify right side
    205,120.02x = 33,947,992,383.03
  5. Step 5: Solve for x
    x = 33,947,992,383.03/205,120.02
  6. Step 6: Final answer
    x = 165,503.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.